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21220202101122 = 2323747677918411
BaseRepresentation
bin1001101001100101101101…
…00110111011100110000010
32210010122001100222200111200
410310302312212323212002
510240132433214213442
6113044232023522030
74320052250526633
oct464626646734602
983118040880450
1021220202101122
116841489970772
12246874a8b9316
13bac0970b7b1b
145350c583988a
1526bebd40e34c
hex134cb69bb982

21220202101122 has 48 divisors (see below), whose sum is σ = 48224404156032. Its totient is φ = 6735797321760.

The previous prime is 21220202101121. The next prime is 21220202101139. The reversal of 21220202101122 is 22110120202212.

It is a happy number.

21220202101122 is a `hidden beast` number, since 21 + 220 + 202 + 101 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21220202101095 and 21220202101104.

It is not an unprimeable number, because it can be changed into a prime (21220202101121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338927904 + ... + 338990507.

It is an arithmetic number, because the mean of its divisors is an integer number (1004675086584).

Almost surely, 221220202101122 is an apocalyptic number.

21220202101122 is an abundant number, since it is smaller than the sum of its proper divisors (27004202054910).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21220202101122 is a wasteful number, since it uses less digits than its factorization.

21220202101122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677918503 (or 677918500 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21220202101122 its reverse (22110120202212), we get a palindrome (43330322303334).

The spelling of 21220202101122 in words is "twenty-one trillion, two hundred twenty billion, two hundred two million, one hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 47 74 94 111 141 222 282 333 423 666 846 1739 3478 5217 10434 15651 31302 677918411 1355836822 2033755233 4067510466 6101265699 12202531398 25082981207 31862165317 50165962414 63724330634 75248943621 95586495951 150497887242 191172991902 225746830863 286759487853 451493661726 573518975706 1178900116729 2357800233458 3536700350187 7073400700374 10610101050561 21220202101122